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The Fourier telescopy is a kind of active illumination imaging with high resolution by using multi-interfering fringes generated by the multi-beams from the large transmitter arrays. According to the imaging principle, the beams from one laser source are split and each beam is applied with a different tiny frequency shift so that the interfering fringes may moving across the target. The configuration of the beams changes so that they would generate fringes in different spatial frequencies and different directions. Recently, most of researches focused on the factors such as the baseline scale and data sampling efficiency that may affect the imaging quality. However, there are other two factors, i.e., the configuration of the transmitter and its redundancy, which need studying. In Fourier telescopy, if the direction and spatial frequency of the fringe patterns that are generated by the change of different baseline configurations match each other, the target surface information would be a crucial factor that affects the image quality.In the first part of this article, the practicability of zero redundancy of baseline is analyzed. The results show that the baseline cannot have zero redundancy due to the iteration algorithm. Then the minimum redundancy is analyzed and the minimum redundancy line is proposed. By using the Strehl ratio as the merit of the imaging quality, the concept of redundancy-strehl ratio-target texture distribution (RST) and calculation method are proposed. This method integrates the transmitter redundancy, target detail information and image quality together. The distribution of RST value on the frequency plane is compared with the minimum redundancy line. If the RST point is located on the horizontal side compared with the line, the target detail information on this baseline is mainly in the horizontal direction. On the other hand, if the RST point is located on the longitude side, the target information is mainly in the longitude direction. Therefore this new proposed method reveals the relationship between target spatial information and the baseline configuration. In this article T-shaped transmitter array is adopted, and the Fourier components are mainly distributed on the rectangle plane. According to this relationship and calculated RST value, the working transmitter may continuously rectify its scale and shifting patterns so that the spatial frequencies and directions of fringes may match the target Fourier components in time. In this article, three simulated images and two real images are tested by the proposed method, and the results show that the RST values and the distributions well reveale the relationship between the detailed information and the baseline configurations.Now the Fourier telescopy follows the procedure from laboratory setup to the real system research. Considering the convenience and cost of project realization, this method is helpful for analyzing the real system of the transmitter configuration and enhancing working efficiency.
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Keywords:
- Fourier telescopy /
- spatial spectrum /
- redundancy /
- image quality
[1] Luo X J, Zhang Y, Gao C X, Ren J, Cao B, Liu H, Chen M L {2015 Acta Opt. Sin. 35 0314001 (in Chinese) [罗秀娟, 张羽, 高存孝, 任娟, 曹蓓, 刘辉, 陈明徕 2015 光学学报 35 0314001]
[2] Zhang Y, Luo X J, Xia A L, Cao B, Cheng Z Y, Zeng Z H, Si Q D, Wang B F 2014 Acta Photon. Sin. 43 0311001 (in Chinese) [张羽, 罗秀娟, 夏爱利, 曹蓓, 程志远, 曾志红, 司庆丹, 王保峰 2014 光子学报 43 0311001]
[3] Cao B, Luo X J, Si Q D, Zeng Z H 2015 Acta Phys. Sin. 64 054204 (in Chinese) [曹蓓, 罗秀娟, 司庆丹, 曾志红 2015 物理学报 64 054204]
[4] Zhang W X, Xiang L B, Kong X X, Li Y, Wu Z, Zhou Z S 2013 Acta Phys. Sin. 62 164203 (in Chinese) [张文喜, 相里斌, 孔新新, 李扬, 伍州, 周志盛 2013 物理学报 62 164203]
[5] Zhang Y, Yang C P, Guo J, Kang M L, Wu J {2011 High Power Laser and Particle Beams 23 571 (in Chinese) [张炎, 杨春平, 郭晶, 康美苓, 吴健 2011 强激光与粒子束 23 571]
[6] Dong L, Liu X Y, Lin X D, Wei P F, Yu S H {2012 Acta Opt. Sin. 32 0201004 (in Chinese) [董磊, 刘欣悦, 林旭东, 卫沛锋, 于树海 2012 光学学报 32 0201004]
[7] Zhao M B, He J, Fu Q {2012 Acta Opt. Sin. 32 0628002 (in Chinese) [赵明波, 何峻, 付强 2012 光学学报 32 0628002]
[8] Holmes R B, Ma S, Bhowmik A, Greninger C 1996 Opt. Soc. Am. 13 351
[9] Arsac J {1955 Compt. Rend. Acad. Sci. 240 942
[10] Cuellar L E, Stapp J, Cooper J 2005 Proc. SPIE 5896 58960D
[11] Wang X W, Li Q, Wang Y G, Chen W, Hu X J {2009 J. National Univ. Defense Technol. 31 38 (in Chinese) [王小伟, 黎全, 王雁桂, 陈卫, 胡小景 2009 国防科技大学学报 31 38]
[12] Si Q D, Luo X J, Zeng Z H 2014 Acta Phys. Sin. 63 104203 (in Chinese) [司庆丹, 罗秀娟, 曾志红 2014 物理学报 63 104203]
[13] Cuellar L E, Cooper J, Mathis J, Fairchild P 2008 Proc. SPIE 7094 70940G
[14] Moffet A T {1968 IEEE AP-16 172
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[1] Luo X J, Zhang Y, Gao C X, Ren J, Cao B, Liu H, Chen M L {2015 Acta Opt. Sin. 35 0314001 (in Chinese) [罗秀娟, 张羽, 高存孝, 任娟, 曹蓓, 刘辉, 陈明徕 2015 光学学报 35 0314001]
[2] Zhang Y, Luo X J, Xia A L, Cao B, Cheng Z Y, Zeng Z H, Si Q D, Wang B F 2014 Acta Photon. Sin. 43 0311001 (in Chinese) [张羽, 罗秀娟, 夏爱利, 曹蓓, 程志远, 曾志红, 司庆丹, 王保峰 2014 光子学报 43 0311001]
[3] Cao B, Luo X J, Si Q D, Zeng Z H 2015 Acta Phys. Sin. 64 054204 (in Chinese) [曹蓓, 罗秀娟, 司庆丹, 曾志红 2015 物理学报 64 054204]
[4] Zhang W X, Xiang L B, Kong X X, Li Y, Wu Z, Zhou Z S 2013 Acta Phys. Sin. 62 164203 (in Chinese) [张文喜, 相里斌, 孔新新, 李扬, 伍州, 周志盛 2013 物理学报 62 164203]
[5] Zhang Y, Yang C P, Guo J, Kang M L, Wu J {2011 High Power Laser and Particle Beams 23 571 (in Chinese) [张炎, 杨春平, 郭晶, 康美苓, 吴健 2011 强激光与粒子束 23 571]
[6] Dong L, Liu X Y, Lin X D, Wei P F, Yu S H {2012 Acta Opt. Sin. 32 0201004 (in Chinese) [董磊, 刘欣悦, 林旭东, 卫沛锋, 于树海 2012 光学学报 32 0201004]
[7] Zhao M B, He J, Fu Q {2012 Acta Opt. Sin. 32 0628002 (in Chinese) [赵明波, 何峻, 付强 2012 光学学报 32 0628002]
[8] Holmes R B, Ma S, Bhowmik A, Greninger C 1996 Opt. Soc. Am. 13 351
[9] Arsac J {1955 Compt. Rend. Acad. Sci. 240 942
[10] Cuellar L E, Stapp J, Cooper J 2005 Proc. SPIE 5896 58960D
[11] Wang X W, Li Q, Wang Y G, Chen W, Hu X J {2009 J. National Univ. Defense Technol. 31 38 (in Chinese) [王小伟, 黎全, 王雁桂, 陈卫, 胡小景 2009 国防科技大学学报 31 38]
[12] Si Q D, Luo X J, Zeng Z H 2014 Acta Phys. Sin. 63 104203 (in Chinese) [司庆丹, 罗秀娟, 曾志红 2014 物理学报 63 104203]
[13] Cuellar L E, Cooper J, Mathis J, Fairchild P 2008 Proc. SPIE 7094 70940G
[14] Moffet A T {1968 IEEE AP-16 172
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